Yup you're right. When I add this into my solution I end up with a system of equations that I cant seem to solve for x2-x1 so I guess the energy method is the only one that works here. Thanks anyways.
Homework Statement
Block 1 (mass 2 kg) is moving rightward at 10 m/s and block 2 (mass 5kg kg) is moving rightward at 3 m/s. The surface is frictionless, and a spring with spring constant of 1120 N/m is fixed on the left side on block 2. When the blocks collide, the compression of the spring is...
Are you saying I can just assume that you can factor ##x^2 - y^2## to ## (x+y)(x-y)## using the property ##a(x+y) = ax + ay## or are you suggesting I prove it using the three given properties?
If its the latter I don't think that the case since we actually have to prove what ##x^2 - y^2##...
Basically just the associative, commutative and distributive properties (as in ##a(x+y) = ax + ay##, not at the level of factoring of ##x^2-y^2##) . Factoring is a higher level algebraic property and must first be proved using those three if you wish to use it here as far as I know.
I know this...
Homework Statement
Hi, I'm a high school student currently working through Spivak for the first time and this is my first proof based introduction to mathematics so I just wanted to make sure that I was doing the following correctly:
Prove that if x^2 = y^2 then x=y or x=-y
The Attempt at a...